F1 - F3 Mathematics

F1 Topic:

• Basic Mathematics
• Directed Numbers
• Using Algebra to Solve Problems (I)
• Percentages (I)
• Using Algebra to Solve Problems (II)
• Estimation in Numbers and Measurement
• Introduction to Geometry
• Angles in Intersecting and Parallel Lines
• Area and Volume (I)
• Introduction to Coordinates
• Symmetry and Transformation
• Congruence and Similarity
• Introduction to Statistics

F2 Topic:

• Manipulations and Factorization of Polynomials
• Identities
• Formulae
• Linear Equations in Two Unknowns
• Approximation and Errors
• Rate and Ratio
• More about Data Handling
• Angles in Triangles and Polygons
• Introduction to Deductive Geometry
• Pythagoras' Theorem
• Trigonometric Ratios
• Area and Volume (II)

F3 Topic:

• More about Factorization of Polynomials
• Laws of Indices
• Percentages (II)
• Linear Inequalities in One Unknown
• Introduction to Probability
• Measures of Central Tendency and Other Statistical Values
• More on Deductive Geometry
• Quadrilaterals
• More on 3-D Figures
• Area and Volume (III)
• Applications in Trigonometry
• Coordinate Geometry of Straight Lines

 

F1 - F3 Integrated Science

F1 Topic:

Chapter 1 Starting science

Chapter 2 The wonderful solvent - water

Chapter 3 Exploring the living world

Chapter 4 Cells and human reproduction

Chapter 5 Energy

Chapter 6 Matter as particles

F2 Topic:

Chapter 7 Living things and air

Chapter 8 Making use of electricity

Chapter 9 Space travel

Chapter 10 Common acids and alkalis

Chapter 11 Sensing the environment

F3 Topic (Integrated Science)

[depends on school, should be cover the following topics]

Chapter 12 A healthy body

Chapter 13 Metals

Chapter 14 Materials of the modern world

Chapter 15 Light, colours and beyond

F3 Topic (Phy / Chem / Bio Combined)

[depends on school, should be cover the following topics]

Physics	Chemistry	Biology
Reflection of Light Refraction of Light Lenses Thermometer Heat Change of State Transfer Process	Fundamentals of Chemistry The atmosphere The ocean Rocks and minerals Atomic structure The Periodic Table Ionic bonding Covalent bonding Structures of substances	Introducing Biology Structure of cells Cell membrane Enzyme & metabolism Food and humans Nutrition in humans

 

F4 - F6 Mathematics

F4 Topic:

[depends on school, should be cover the following topics]

• Equations of Straight Lines
• Number Systems
• Quadratic Equations in One Unknown
• Basic Knowledge of Functions
• Quadratic Functions
• More about Polynomials
• Exponential Functions
• Logarithmic Functions
• Rational Functions
• Basic Properties of Circles
• More about Basic Properties of Circles
• Basic Trigonometry

F5 Topic:

[depends on school, should be cover the following topics]

• More about on Equations
• Inequalities in One Unknown
• More about Graphs of Functions
• Permutation and Combination
• More about Probability
• Variations
• Equations of Circles
• Loci
• Solving Triangles
• Applications in Trigonometry
• Measures of Dispersion
• More about Dispersion

F6 Topic:

(Revision during Summer)

• Quadratic Equations and Functions
• Inequalities and Quadratic Inequalities
• Exponential and Logarithmic Functions
• More about Graphs of Functions
• Polynomials, Rational Functions
• Rate, Ratio and Variations

(F6 topic during Sep to Oct)

• Arithmetic and Geometric Sequences
• Linear Programming
• Uses and Abuses of Statistics (Optional)

(Revision during Oct to Jan)

• Trigonometry and 2D/3D problems
• Geometry
• Coordinate Geometry
• Probability
• Statistics
• Area and Volume

(Revision during Jan to Apr)

• Past paper training
• Mock Examination

 

F4 - F6 M1

[depends on school, should be cover the following topics]

• Binomial Expansion
• Exponential and Logarithmic Functions
• Limits and Derivative
• Differentiation Rule
• Application of Differentiation
• Indefinite Integrals
• Applications of Indefinite Integrals
• Definite Integrals
• Applications of Definite Integrals
• Trapezoidal Rule and its Applications
• Introduction to Statistics, More About Permutation and Combination
• Vans Diagram, Further Probability and Bayes’ Theorem
• Discrete Probability Distributions
• Some Special Discrete Probability Distributions
• Normal Distributions
• Point and Interval Estimation

 

F4 - F6 M2

[depends on school, should be cover the following topics]

• Mathematical Inductions
• Binomial Expansion
• More about Trigonometric Functions
• Compound Angle Formulae
• Limits and Derivative
• Differentiation Rules
• Applications of Differentiation
• Indefinite Integrals
• Applications of Indefinite Integrals
• Definite Integrals
• Applications of Definite Integrals
• Matrices and Determinants
• System of Linear Equations
• Vectors and its Application

 

F4 - F6 Physics

[depends on school, should be cover the following topics]

Students are advised to finish ALL C1 to C5 topic BEFORE F6 Sep

Otherwise you may not have enough time to prepare the DSE Physics Exams

Compulsory Topic (Paper I) [Study ALL]

Elective Topic (Paper II) [Study 2 out of 4]

C1: Heat: Thermometer Heat Change of State Transfer Process Kinetic theory and the gas laws C2: Mechanics: Position and Movement Force and Motion Moments Work, Energy and Power Momentum Projectile Motions Circular Motions Gravitational Force C3: Wave: Wave Motions Properties of Waves Reflection and Refraction of Light Wave Nature of Light Sound Waves C4: Electricity and Magnetism Charge and Electric Forces Electric Fields Currents and Resistance Simple Electric Circuits Domestic Electricity Magnetic Forces and Magnetic Fields Magnetic Effect of Electric Currents Electromagnetic Induction Alternative Currents and Transformers C5: Radioactivity & Nuclear Energy X-rays and Nuclear Radiations Atomic Model and Radioactive Decay Nuclear Energy

E1: Astronomy and Space Science Astronomy through history Orbital motion under gravity Starlight and classification of stars Doppler Effect E2: Atomic Word Rutherford’s model and photoelectric effect Electromagnetic wave spectrum Bohr’s model of the hydrogen atom Wave-particle duality Nano-physics E3: Energy and Use of Energy Lighting Cooking without fire and air-conditioning Energy efficiency in buildings Energy performance of transportation Renewable and non-renewable energy Environmental impacts E4: Medical Physics Human vision Human hearing Ultrasound for medical imaging Endoscope imaging X-ray radiographic imaging and CT scans Radionuclides for medical uses